Positive solutions for a high-order semipositone fractional differential equation with integral boundary conditions

被引：5

作者：

Wang Y. ^{[1
]}

Yang Y. ^{[1
]}

机构：

[1] School of Science, Jiangnan University

来源：

Journal of Applied Mathematics and Computing | 2014年 / 45卷 / 1-2期

关键词：

Boundary value problem; Fixed point theorem; Fractional differential equation; Positive solution; Riemann-Stieltjes integral;

D O I：

10.1007/s12190-013-0713-x

中图分类号：

学科分类号：

摘要：

In this paper, we consider the existence of positive solutions for a high-order semipositone fractional differential equation with Riemann-Stieltjes integral boundary conditions. By Krasnoselskii-Zabreiko fixed point theorem and some inequalities associated with Green's function, two new existence theorems are obtained in the case that the nonlinearity f is allowed to grow both superlinearly and sublinearly. Finally, two examples are given to illustrate the main results. © 2013 Korean Society for Computational and Applied Mathematics.

引用

页码：99 / 109

页数：10

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